Freese's two-run double tied it in the first, with Cardinals star Albert Pujols raising his arms as he scored. Good-luck charm Allen Craig hit a go-ahead homer in the third.
Given a chance to pitch by a Game 6 rainout and picked by La Russa earlier in the day to start on three days' rest, Carpenter and the tireless St. Louis bullpen closed it out.
"We just kept playing," Cardinals star Lance Berkman said.
Said La Russa: "If you watch the history of baseball, teams come back."
The Rangers, meanwhile, will spend the whole winter wondering how it all got away. Texas might dwell on it forever, in fact, at least until Nolan Ryan & Co. can reverse a World Series slide that started with last year's five-game wipeout against San Francisco.
Ryan left tight-lipped. When a reporter tried to ask the Rangers president and part-owner a question, someone in his entourage said: "He's not talking."
Texas had not lost consecutive games since last August. These two defeats at Busch Stadium cost manager Ron Washington and the Rangers a chance to win their first title in the franchise's 51-year history.